Elements of tensor calculus – part two

This is the seventh lecture from the general relativity series of seminars. After the previous basic introduction to tensors in part one, we now proceed to develop the differential calculus of tensors. Some fundamental concepts will be introduced (parallel transport, curvature and torsion, metric), as well as Cartan structure equations and the algorithm for curvature calculation. The lecture is again aimed at (under)graduate students audience.